Population of merging compact binaries inferred using gravitational waves through GWTC-3

Research output: Contribution to journalArticleResearchpeer review

Authors

  • The LIGO Scientific Collaboration
  • The Virgo Collaboration
  • the KAGRA Collaboration
  • K. Danzmann
  • M. Heurs
  • A. Hreibi
  • J. Lehmann
  • H. Lück
  • H. Vahlbruch
  • D. Wilken
  • B. Willke
  • D. S. Wu
  • C. Affeldt
  • F. Bergamin
  • A. Bisht
  • N. Bode
  • P. Booker
  • M. Brinkmann
  • N. Gohlke
  • A. Heidt
  • J. Heinze
  • S. Hochheim
  • W. Kastaun
  • R. Kirchhoff
  • P. Koch
  • N. Koper
  • V. Kringel
  • N. V. Krishnendu
  • G. Kuehn
  • S. Leavey
  • J. Liu
  • J. D. Lough
  • M. Matiushechkina
  • M. Mehmet
  • F. Meylahn
  • N. Mukund
  • S. L. Nadji
  • M. Nery
  • F. Ohme
  • M. Schneewind
  • B. W. Schulte
  • B. F. Schutz
  • J. Venneberg
  • J. von Wrangel
  • M. Weinert
  • F. Wellmann
  • P. Weßels
  • W. Winkler
  • J. Woehler
  • Jochen Junker

Research Organisations

External Research Organisations

  • Australian National University
  • Maastricht University
  • Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
  • Universität Hamburg
  • Cardiff University
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Details

Original languageEnglish
Article number011048
JournalPhysical Review X
Volume13
Issue number1
Publication statusPublished - 29 Mar 2023

Abstract

We report on the population properties of 76 compact binary mergers detected with gravitational waves below a false alarm rate of 1 per year through GWTC-3. The catalog contains three classes of binary mergers: BBH, BNS, and NSBH mergers. We infer the BNS merger rate to be between 13 \(\rm{Gpc^{-3} yr^{-1}}\) and 1900 \(\rm{Gpc^{-3} yr^{-1}}\) and the NSBH merger rate to be between 7.4 \(\rm{Gpc^{-3}\, yr^{-1}}\) and 320 \(\rm{Gpc^{-3} yr^{-1}}\) , assuming a constant rate density versus comoving volume and taking the union of 90% credible intervals for methods used in this work. Accounting for the BBH merger rate to evolve with redshift, we find the BBH merger rate to be between 17.3 \(\rm{Gpc^{-3}\, yr^{-1}}\) and 45 \(\rm{Gpc^{-3}\, yr^{-1}}\) at a fiducial redshift (z=0.2). We obtain a broad neutron star mass distribution extending from \(1.2^{+0.1}_{-0.2} M_\odot\) to \(2.0^{+0.3}_{-0.2} M_\odot\). We can confidently identify a rapid decrease in merger rate versus component mass between neutron star-like masses and black-hole-like masses, but there is no evidence that the merger rate increases again before 10 \(M_\odot\). We also find the BBH mass distribution has localized over- and under-densities relative to a power law distribution. While we continue to find the mass distribution of a binary's more massive component strongly decreases as a function of primary mass, we observe no evidence of a strongly suppressed merger rate above \(\sim 60 M_\odot\). The rate of BBH mergers is observed to increase with redshift at a rate proportional to \((1+z)^{\kappa}\) with \(\kappa = 2.7^{+1.8}_{-1.9}\) for \(z\lesssim 1\). Observed black hole spins are small, with half of spin magnitudes below \(\chi_i \simeq 0.26\). We observe evidence of negative aligned spins in the population, and an increase in spin magnitude for systems with more unequal mass ratio.

Keywords

    astro-ph.HE, gr-qc

ASJC Scopus subject areas

Cite this

Population of merging compact binaries inferred using gravitational waves through GWTC-3. / The LIGO Scientific Collaboration; The Virgo Collaboration; the KAGRA Collaboration et al.
In: Physical Review X, Vol. 13, No. 1, 011048, 29.03.2023.

Research output: Contribution to journalArticleResearchpeer review

The LIGO Scientific Collaboration, The Virgo Collaboration, the KAGRA Collaboration, Danzmann, K, Heurs, M, Hreibi, A, Lehmann, J, Lück, H, Vahlbruch, H, Wilken, D, Willke, B, Wu, DS, Affeldt, C, Bergamin, F, Bisht, A, Bode, N, Booker, P, Brinkmann, M, Gohlke, N, Heidt, A, Heinze, J, Hochheim, S, Kastaun, W, Kirchhoff, R, Koch, P, Koper, N, Kringel, V, Krishnendu, NV, Kuehn, G, Leavey, S, Liu, J, Lough, JD, Matiushechkina, M, Mehmet, M, Meylahn, F, Mukund, N, Nadji, SL, Nery, M, Ohme, F, Schneewind, M, Schulte, BW, Schutz, BF, Venneberg, J, von Wrangel, J, Weinert, M, Wellmann, F, Weßels, P, Winkler, W, Woehler, J & Junker, J 2023, 'Population of merging compact binaries inferred using gravitational waves through GWTC-3', Physical Review X, vol. 13, no. 1, 011048. https://doi.org/10.48550/arXiv.2111.03634, https://doi.org/10.1103/PhysRevX.13.011048
The LIGO Scientific Collaboration, The Virgo Collaboration, the KAGRA Collaboration, Danzmann, K., Heurs, M., Hreibi, A., Lehmann, J., Lück, H., Vahlbruch, H., Wilken, D., Willke, B., Wu, D. S., Affeldt, C., Bergamin, F., Bisht, A., Bode, N., Booker, P., Brinkmann, M., Gohlke, N., ... Junker, J. (2023). Population of merging compact binaries inferred using gravitational waves through GWTC-3. Physical Review X, 13(1), Article 011048. https://doi.org/10.48550/arXiv.2111.03634, https://doi.org/10.1103/PhysRevX.13.011048
The LIGO Scientific Collaboration, The Virgo Collaboration, the KAGRA Collaboration, Danzmann K, Heurs M, Hreibi A et al. Population of merging compact binaries inferred using gravitational waves through GWTC-3. Physical Review X. 2023 Mar 29;13(1):011048. doi: 10.48550/arXiv.2111.03634, 10.1103/PhysRevX.13.011048
The LIGO Scientific Collaboration ; The Virgo Collaboration ; the KAGRA Collaboration et al. / Population of merging compact binaries inferred using gravitational waves through GWTC-3. In: Physical Review X. 2023 ; Vol. 13, No. 1.
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@article{3054fbe6b5374fa6a3b6be15405b5d87,
title = "Population of merging compact binaries inferred using gravitational waves through GWTC-3",
abstract = " We report on the population properties of 76 compact binary mergers detected with gravitational waves below a false alarm rate of 1 per year through GWTC-3. The catalog contains three classes of binary mergers: BBH, BNS, and NSBH mergers. We infer the BNS merger rate to be between 13 \(\rm{Gpc^{-3} yr^{-1}}\) and 1900 \(\rm{Gpc^{-3} yr^{-1}}\) and the NSBH merger rate to be between 7.4 \(\rm{Gpc^{-3}\, yr^{-1}}\) and 320 \(\rm{Gpc^{-3} yr^{-1}}\) , assuming a constant rate density versus comoving volume and taking the union of 90% credible intervals for methods used in this work. Accounting for the BBH merger rate to evolve with redshift, we find the BBH merger rate to be between 17.3 \(\rm{Gpc^{-3}\, yr^{-1}}\) and 45 \(\rm{Gpc^{-3}\, yr^{-1}}\) at a fiducial redshift (z=0.2). We obtain a broad neutron star mass distribution extending from \(1.2^{+0.1}_{-0.2} M_\odot\) to \(2.0^{+0.3}_{-0.2} M_\odot\). We can confidently identify a rapid decrease in merger rate versus component mass between neutron star-like masses and black-hole-like masses, but there is no evidence that the merger rate increases again before 10 \(M_\odot\). We also find the BBH mass distribution has localized over- and under-densities relative to a power law distribution. While we continue to find the mass distribution of a binary's more massive component strongly decreases as a function of primary mass, we observe no evidence of a strongly suppressed merger rate above \(\sim 60 M_\odot\). The rate of BBH mergers is observed to increase with redshift at a rate proportional to \((1+z)^{\kappa}\) with \(\kappa = 2.7^{+1.8}_{-1.9}\) for \(z\lesssim 1\). Observed black hole spins are small, with half of spin magnitudes below \(\chi_i \simeq 0.26\). We observe evidence of negative aligned spins in the population, and an increase in spin magnitude for systems with more unequal mass ratio. ",
keywords = "astro-ph.HE, gr-qc",
author = "{The LIGO Scientific Collaboration} and {The Virgo Collaboration} and {the KAGRA Collaboration} and R. Abbott and Abbott, {T. D.} and F. Acernese and Adya, {V. B.} and S. Bose and Brown, {D. D.} and C. Chatterjee and X. Chen and Y.-B. Chen and Y.-R. Chen and H. Cheng and Choudhary, {R. K.} and S. Danilishin and K. Danzmann and Guo, {H. -K.} and H. Hansen and J. Hennig and M. Heurs and A. Hreibi and H{\"u}bner, {M. T.} and K. Isleif and Lang, {R. N.} and Lee, {H. K.} and Lee, {H. M.} and Lee, {H. W.} and J. Lee and J. Lehmann and J. Li and X. Li and H. L{\"u}ck and A. More and T. Nguyen and L. Richardson and Rose, {C. A.} and S. Roy and Sanders, {J. R.} and P. Schmidt and S. Schmidt and L. Sun and H. Vahlbruch and D. Wilken and B. Willke and Wu, {D. S.} and H. Wu and Kohei Yamamoto and H. Zhang and L. Zhang and Y. Zhang and Z. Zhou and Zhu, {X. J.} and C. Affeldt and F. Bergamin and A. Bisht and N. Bode and P. Booker and M. Brinkmann and N. Gohlke and A. Heidt and J. Heinze and S. Hochheim and W. Kastaun and R. Kirchhoff and P. Koch and N. Koper and V. Kringel and Krishnendu, {N. V.} and G. Kuehn and S. Leavey and J. Liu and Lough, {J. D.} and M. Matiushechkina and M. Mehmet and F. Meylahn and N. Mukund and Nadji, {S. L.} and M. Nery and F. Ohme and M. Schneewind and Schulte, {B. W.} and Schutz, {B. F.} and J. Venneberg and {von Wrangel}, J. and M. Weinert and F. Wellmann and P. We{\ss}els and W. Winkler and J. Woehler and Jochen Junker",
note = "This material is based upon work supported by NSF{\textquoteright}s LIGO Laboratory which is a major facility fully funded by the National Science Foundation. The authors also gratefully acknowledge the support of the Science and Technology Facilities Council (STFC) of the United Kingdom, the Max-Planck-Society, and the State of Niedersachsen/Germany for support of the construction of Advanced LIGO and construction and operation of the GEO600 detector. Additional support for Advanced LIGO was provided by the Australian Research Council. The authors gratefully acknowledge the Italian Istituto Nazionale di Fisica Nucleare (INFN), the French Centre National de la Recherche Scientifique (CNRS), and the Netherlands Organization for Scientific Research for the construction and operation of the Virgo detector and the creation and support of the EGO consortium. The authors also gratefully acknowledge research support from these agencies as well as by the Council of Scientific and Industrial Research of India, the Department of Science and Technology, India, the Science & Engineering Research Board, India, the Ministry of Human Resource Development, India, the Spanish Agencia Estatal de Investigaci{\'o}n, the Spanish Ministerio de Ciencia e Innovaci{\'o}n and Ministerio de Universidades, the Conselleria de Fons Europeus, Universitat i Cultura and the Direcci{\'o} General de Pol{\'i}tica Universitaria i Recerca del Govern de les Illes Balears, the Conselleria d{\textquoteright}Innovaci{\'o}, Universitats, Ci{\`e}ncia i Societat Digital de la Generalitat Valenciana and the CERCA Programme Generalitat de Catalunya, Spain, the National Science Centre of Poland and the European Union—European Regional Development Fund; Foundation for Polish Science, the Swiss National Science Foundation, the Russian Foundation for Basic Research, the Russian Science Foundation, the European Commission, the European Social Funds, the European Regional Development Funds, the Royal Society, the Scottish Funding Council, the Scottish Universities Physics Alliance, the Hungarian Scientific Research Fund, the French Lyon Institute of Origins, the Belgian Fonds de la Recherche Scientifique, Actions de Recherche Concert{\'e}es and Fonds Wetenschappelijk Onderzoek—Vlaanderen, Belgium, the Paris {\^I}le-de-France Region, the National Research, Development and Innovation Office Hungary, the National Research Foundation of Korea, the Natural Science and Engineering Research Council Canada, Canadian Foundation for Innovation, the Brazilian Ministry of Science, Technology, and Innovations, the International Center for Theoretical Physics South American Institute for Fundamental Research, the Research Grants Council of Hong Kong, the National Natural Science Foundation of China, the Leverhulme Trust, the Research Corporation, the Ministry of Science and Technology, Taiwan, the United States Department of Energy, and the Kavli Foundation. The authors gratefully acknowledge the support of the NSF, STFC, INFN, and CNRS for provision of computational resources. This work was supported by MEXT, JSPS Leading-Edge Research Infrastructure Program, JSPS Grant-in-Aid for Specially Promoted Research, Grant No. 26000005, JSPS Grant-in-Aid for Scientific Research on Innovative Areas 2905, Grants No. JP17H06358, No. JP17H06361, and No. JP17H06364, JSPS Core-to-Core Program A. Advanced Research Networks, JSPS Grant-in-Aid for Scientific Research (S), Grants No. 17H06133 and No. 20H05639, JSPS Grant-in-Aid for Transformative Research Areas (A) 20A203, Grant No. JP20H05854, the joint research program of the Institute for Cosmic Ray Research, University of Tokyo, National Research Foundation and Computing Infrastructure Project of KISTI-GSDC in Korea, Academia Sinica (AS), AS Grid Center and the Ministry of Science and Technology in Taiwan under grants including Grant No. AS-CDA-105-M06, Advanced Technology Center of NAOJ, Mechanical Engineering Center of KEK.",
year = "2023",
month = mar,
day = "29",
doi = "10.48550/arXiv.2111.03634",
language = "English",
volume = "13",
journal = "Physical Review X",
issn = "2160-3308",
publisher = "American Physical Society",
number = "1",

}

Download

TY - JOUR

T1 - Population of merging compact binaries inferred using gravitational waves through GWTC-3

AU - The LIGO Scientific Collaboration

AU - The Virgo Collaboration

AU - the KAGRA Collaboration

AU - Abbott, R.

AU - Abbott, T. D.

AU - Acernese, F.

AU - Adya, V. B.

AU - Bose, S.

AU - Brown, D. D.

AU - Chatterjee, C.

AU - Chen, X.

AU - Chen, Y.-B.

AU - Chen, Y.-R.

AU - Cheng, H.

AU - Choudhary, R. K.

AU - Danilishin, S.

AU - Danzmann, K.

AU - Guo, H. -K.

AU - Hansen, H.

AU - Hennig, J.

AU - Heurs, M.

AU - Hreibi, A.

AU - Hübner, M. T.

AU - Isleif, K.

AU - Lang, R. N.

AU - Lee, H. K.

AU - Lee, H. M.

AU - Lee, H. W.

AU - Lee, J.

AU - Lehmann, J.

AU - Li, J.

AU - Li, X.

AU - Lück, H.

AU - More, A.

AU - Nguyen, T.

AU - Richardson, L.

AU - Rose, C. A.

AU - Roy, S.

AU - Sanders, J. R.

AU - Schmidt, P.

AU - Schmidt, S.

AU - Sun, L.

AU - Vahlbruch, H.

AU - Wilken, D.

AU - Willke, B.

AU - Wu, D. S.

AU - Wu, H.

AU - Yamamoto, Kohei

AU - Zhang, H.

AU - Zhang, L.

AU - Zhang, Y.

AU - Zhou, Z.

AU - Zhu, X. J.

AU - Affeldt, C.

AU - Bergamin, F.

AU - Bisht, A.

AU - Bode, N.

AU - Booker, P.

AU - Brinkmann, M.

AU - Gohlke, N.

AU - Heidt, A.

AU - Heinze, J.

AU - Hochheim, S.

AU - Kastaun, W.

AU - Kirchhoff, R.

AU - Koch, P.

AU - Koper, N.

AU - Kringel, V.

AU - Krishnendu, N. V.

AU - Kuehn, G.

AU - Leavey, S.

AU - Liu, J.

AU - Lough, J. D.

AU - Matiushechkina, M.

AU - Mehmet, M.

AU - Meylahn, F.

AU - Mukund, N.

AU - Nadji, S. L.

AU - Nery, M.

AU - Ohme, F.

AU - Schneewind, M.

AU - Schulte, B. W.

AU - Schutz, B. F.

AU - Venneberg, J.

AU - von Wrangel, J.

AU - Weinert, M.

AU - Wellmann, F.

AU - Weßels, P.

AU - Winkler, W.

AU - Woehler, J.

AU - Junker, Jochen

N1 - This material is based upon work supported by NSF’s LIGO Laboratory which is a major facility fully funded by the National Science Foundation. The authors also gratefully acknowledge the support of the Science and Technology Facilities Council (STFC) of the United Kingdom, the Max-Planck-Society, and the State of Niedersachsen/Germany for support of the construction of Advanced LIGO and construction and operation of the GEO600 detector. Additional support for Advanced LIGO was provided by the Australian Research Council. The authors gratefully acknowledge the Italian Istituto Nazionale di Fisica Nucleare (INFN), the French Centre National de la Recherche Scientifique (CNRS), and the Netherlands Organization for Scientific Research for the construction and operation of the Virgo detector and the creation and support of the EGO consortium. The authors also gratefully acknowledge research support from these agencies as well as by the Council of Scientific and Industrial Research of India, the Department of Science and Technology, India, the Science & Engineering Research Board, India, the Ministry of Human Resource Development, India, the Spanish Agencia Estatal de Investigación, the Spanish Ministerio de Ciencia e Innovación and Ministerio de Universidades, the Conselleria de Fons Europeus, Universitat i Cultura and the Direcció General de Política Universitaria i Recerca del Govern de les Illes Balears, the Conselleria d’Innovació, Universitats, Ciència i Societat Digital de la Generalitat Valenciana and the CERCA Programme Generalitat de Catalunya, Spain, the National Science Centre of Poland and the European Union—European Regional Development Fund; Foundation for Polish Science, the Swiss National Science Foundation, the Russian Foundation for Basic Research, the Russian Science Foundation, the European Commission, the European Social Funds, the European Regional Development Funds, the Royal Society, the Scottish Funding Council, the Scottish Universities Physics Alliance, the Hungarian Scientific Research Fund, the French Lyon Institute of Origins, the Belgian Fonds de la Recherche Scientifique, Actions de Recherche Concertées and Fonds Wetenschappelijk Onderzoek—Vlaanderen, Belgium, the Paris Île-de-France Region, the National Research, Development and Innovation Office Hungary, the National Research Foundation of Korea, the Natural Science and Engineering Research Council Canada, Canadian Foundation for Innovation, the Brazilian Ministry of Science, Technology, and Innovations, the International Center for Theoretical Physics South American Institute for Fundamental Research, the Research Grants Council of Hong Kong, the National Natural Science Foundation of China, the Leverhulme Trust, the Research Corporation, the Ministry of Science and Technology, Taiwan, the United States Department of Energy, and the Kavli Foundation. The authors gratefully acknowledge the support of the NSF, STFC, INFN, and CNRS for provision of computational resources. This work was supported by MEXT, JSPS Leading-Edge Research Infrastructure Program, JSPS Grant-in-Aid for Specially Promoted Research, Grant No. 26000005, JSPS Grant-in-Aid for Scientific Research on Innovative Areas 2905, Grants No. JP17H06358, No. JP17H06361, and No. JP17H06364, JSPS Core-to-Core Program A. Advanced Research Networks, JSPS Grant-in-Aid for Scientific Research (S), Grants No. 17H06133 and No. 20H05639, JSPS Grant-in-Aid for Transformative Research Areas (A) 20A203, Grant No. JP20H05854, the joint research program of the Institute for Cosmic Ray Research, University of Tokyo, National Research Foundation and Computing Infrastructure Project of KISTI-GSDC in Korea, Academia Sinica (AS), AS Grid Center and the Ministry of Science and Technology in Taiwan under grants including Grant No. AS-CDA-105-M06, Advanced Technology Center of NAOJ, Mechanical Engineering Center of KEK.

PY - 2023/3/29

Y1 - 2023/3/29

N2 - We report on the population properties of 76 compact binary mergers detected with gravitational waves below a false alarm rate of 1 per year through GWTC-3. The catalog contains three classes of binary mergers: BBH, BNS, and NSBH mergers. We infer the BNS merger rate to be between 13 \(\rm{Gpc^{-3} yr^{-1}}\) and 1900 \(\rm{Gpc^{-3} yr^{-1}}\) and the NSBH merger rate to be between 7.4 \(\rm{Gpc^{-3}\, yr^{-1}}\) and 320 \(\rm{Gpc^{-3} yr^{-1}}\) , assuming a constant rate density versus comoving volume and taking the union of 90% credible intervals for methods used in this work. Accounting for the BBH merger rate to evolve with redshift, we find the BBH merger rate to be between 17.3 \(\rm{Gpc^{-3}\, yr^{-1}}\) and 45 \(\rm{Gpc^{-3}\, yr^{-1}}\) at a fiducial redshift (z=0.2). We obtain a broad neutron star mass distribution extending from \(1.2^{+0.1}_{-0.2} M_\odot\) to \(2.0^{+0.3}_{-0.2} M_\odot\). We can confidently identify a rapid decrease in merger rate versus component mass between neutron star-like masses and black-hole-like masses, but there is no evidence that the merger rate increases again before 10 \(M_\odot\). We also find the BBH mass distribution has localized over- and under-densities relative to a power law distribution. While we continue to find the mass distribution of a binary's more massive component strongly decreases as a function of primary mass, we observe no evidence of a strongly suppressed merger rate above \(\sim 60 M_\odot\). The rate of BBH mergers is observed to increase with redshift at a rate proportional to \((1+z)^{\kappa}\) with \(\kappa = 2.7^{+1.8}_{-1.9}\) for \(z\lesssim 1\). Observed black hole spins are small, with half of spin magnitudes below \(\chi_i \simeq 0.26\). We observe evidence of negative aligned spins in the population, and an increase in spin magnitude for systems with more unequal mass ratio.

AB - We report on the population properties of 76 compact binary mergers detected with gravitational waves below a false alarm rate of 1 per year through GWTC-3. The catalog contains three classes of binary mergers: BBH, BNS, and NSBH mergers. We infer the BNS merger rate to be between 13 \(\rm{Gpc^{-3} yr^{-1}}\) and 1900 \(\rm{Gpc^{-3} yr^{-1}}\) and the NSBH merger rate to be between 7.4 \(\rm{Gpc^{-3}\, yr^{-1}}\) and 320 \(\rm{Gpc^{-3} yr^{-1}}\) , assuming a constant rate density versus comoving volume and taking the union of 90% credible intervals for methods used in this work. Accounting for the BBH merger rate to evolve with redshift, we find the BBH merger rate to be between 17.3 \(\rm{Gpc^{-3}\, yr^{-1}}\) and 45 \(\rm{Gpc^{-3}\, yr^{-1}}\) at a fiducial redshift (z=0.2). We obtain a broad neutron star mass distribution extending from \(1.2^{+0.1}_{-0.2} M_\odot\) to \(2.0^{+0.3}_{-0.2} M_\odot\). We can confidently identify a rapid decrease in merger rate versus component mass between neutron star-like masses and black-hole-like masses, but there is no evidence that the merger rate increases again before 10 \(M_\odot\). We also find the BBH mass distribution has localized over- and under-densities relative to a power law distribution. While we continue to find the mass distribution of a binary's more massive component strongly decreases as a function of primary mass, we observe no evidence of a strongly suppressed merger rate above \(\sim 60 M_\odot\). The rate of BBH mergers is observed to increase with redshift at a rate proportional to \((1+z)^{\kappa}\) with \(\kappa = 2.7^{+1.8}_{-1.9}\) for \(z\lesssim 1\). Observed black hole spins are small, with half of spin magnitudes below \(\chi_i \simeq 0.26\). We observe evidence of negative aligned spins in the population, and an increase in spin magnitude for systems with more unequal mass ratio.

KW - astro-ph.HE

KW - gr-qc

UR - http://www.scopus.com/inward/record.url?scp=85151382852&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2111.03634

DO - 10.48550/arXiv.2111.03634

M3 - Article

VL - 13

JO - Physical Review X

JF - Physical Review X

SN - 2160-3308

IS - 1

M1 - 011048

ER -

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